Gondauri Index (GI): Methodology for a Clay Millennium-Problems-Driven Macro-Financial Index

Gondauri, Davit (2025): Gondauri Index (GI): Methodology for a Clay Millennium-Problems-Driven Macro-Financial Index.

Abstract

The Gondauri Index (GI) is introduced as a novel macro-financial composite index, grounded in the Millennium Development Goals and applied to economic modeling. It integrates three sub-indices: the Inequality-Ricci Subindex (IRS), which measures income distribution stability through Ricci flow dynamics; the Liquidity-Navier-Stokes Resilience (LNSR), capturing systemic robustness via fluid dynamics analogies; and the Inflation FPAS+ζ Credibility (IFC), which enhances inflation forecasting through hybrid FPAS-Riemann zeta methods. Each subindex is normalized on a 0-100 scale, with the final GI computed as a weighted geometric mean (35% IRS, 35% LNSR, 30% IFC). The methodology combines statistical calibration, normalization, and error-reduction benchmarks, ensuring reliability and policy applicability. The GI provides a consolidated, forward-looking metric for evaluating inequality, financial stability, and inflation expectations, offering policymakers and researchers a robust tool for decision-making in complex socioeconomic environments.

• Item Type: MPRA Paper
• Language: English
• Keywords: Gondauri Index, Ricci Flow, Navier-Stokes, Riemann Zeta, Inequality, Liquidity, Inflation Forecasting, Macro-Financial Index
• Subjects: C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General; C - Mathematical and Quantitative Methods > C5 - Econometric Modeling; C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling

References

Gondauri, D. (2025). Inflation Forecasting via Hybrid Integration of the Riemann Zeta Function and FPAS (FPAS + ζ): Cyclical Flexibility, Shock Detection, and Comparative Analysis. *SocioEconomic Challenges*, 9(3), in press. Publisher page: https://armgpublishing.com/journals/sec/9(3) Gondauri, D. (2025). Increasing Systemic Resilience to Socio-Economic Challenges: Modeling the Dynamics of Liquidity Flows and Systemic Risks Using Navier–Stokes Equations. *SocioEconomic Challenges*, 9(2), 92–113. https://doi.org/10.61093/sec.9(2).92-113.2025 Gondauri, D. (2024). The Impact of Socio-Economic Challenges and Technological Progress on Economic Inequality: An Estimation with the Perelman Model and Ricci Flow Methods. *SocioEconomic Challenges*, 8(4), 161–176. https://doi.org/10.61093/sec.8(4).161-176.2024